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Simplifying -19p + -5(5 + -5p) = 2(p + -5) + -35 -19p + (5 * -5 + -5p * -5) = 2(p + -5) + -35 -19p + (-25 + 25p) = 2(p + -5) + -35 Reorder the terms: -25 + -19p + 25p = 2(p + -5) + -35 Combine like terms: -19p + 25p = 6p -25 + 6p = 2(p + -5) + -35 Reorder the terms: -25 + 6p = 2(-5 + p) + -35 -25 + 6p = (-5 * 2 + p * 2) + -35 -25 + 6p = (-10 + 2p) + -35 Reorder the terms: -25 + 6p = -10 + -35 + 2p Combine like terms: -10 + -35 = -45 -25 + 6p = -45 + 2p Solving -25 + 6p = -45 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -25 + 6p + -2p = -45 + 2p + -2p Combine like terms: 6p + -2p = 4p -25 + 4p = -45 + 2p + -2p Combine like terms: 2p + -2p = 0 -25 + 4p = -45 + 0 -25 + 4p = -45 Add '25' to each side of the equation. -25 + 25 + 4p = -45 + 25 Combine like terms: -25 + 25 = 0 0 + 4p = -45 + 25 4p = -45 + 25 Combine like terms: -45 + 25 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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